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Finding the Third Proportional to 24,401 and 53,095

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Solution

The third proportional to 24,401 and 53,095 is: 115,531.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,401 : 53,095 = 53,095 : x
  2. Step 2: Convert to fraction form
    24,401/53,095 = 53,095/x
  3. Step 3: Cross multiply
    24,401x = 53,095 × 53,095
  4. Step 4: Simplify right side
    24,401x = 2,819,079,025
  5. Step 5: Solve for x
    x = 2,819,079,025/24,401
  6. Step 6: Final answer
    x = 115,531.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.